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Two-Step Estimation of Discrete/Continuous Econometric Models with Interdependent Multinomial Choices

Author

Listed:
  • Denis Bolduc

    () (Université Laval)

  • Dimitri Sanga

    (Université Laval)

Abstract

This paper considers theoretical and practical aspects associated with the two-step estimation of discrete/continuous econometric models when the choice dimension concerns interdependent choices. A two-step procedure is favoured over a full-information one to avoid the specification errors that could arise from misspecifying the joint distribution of the mixed discrete and continuous random variables involved. A second advantage is simplicity. This is especially true when the choices are described with a multinomial probit (MNP) setting. For the estimation of the second step, we suggest adding selectivity correction terms to a conventional regression-based formulation. Because of the interdependencies among the choices, the correction terms depend on multivariate normal integrals that cannot be easily evaluated numerically in situations with many choices. As a solution we replace them with efficient simulators. The later are needed both for choice probabilities and for the conditional moments involved in the correction terms. The technique suggested may be viewed as an extension to the multinomial setting with interdependent alternatives of the well-known Heckman selectivity correction. As an application, we model the Québec residential electricity demand accounting for interrelations between decisions on electricity-related durable holdings and usage.

Suggested Citation

  • Denis Bolduc & Dimitri Sanga, 1999. "Two-Step Estimation of Discrete/Continuous Econometric Models with Interdependent Multinomial Choices," Computing in Economics and Finance 1999 1323, Society for Computational Economics.
  • Handle: RePEc:sce:scecf9:1323
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    References listed on IDEAS

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    1. Lars Gårn Hansen, 1996. "Water and Energy Price Impacts on Residential Water Demand in Copenhagen," Land Economics, University of Wisconsin Press, vol. 72(1), pages 66-79.
    2. John C. Driscoll & Aart C. Kraay, 1998. "Consistent Covariance Matrix Estimation With Spatially Dependent Panel Data," The Review of Economics and Statistics, MIT Press, vol. 80(4), pages 549-560, November.
    3. Case, Anne C, 1991. "Spatial Patterns in Household Demand," Econometrica, Econometric Society, vol. 59(4), pages 953-965, July.
    4. Kodde, D A & Palm, Franz C & Pfann, G A, 1990. "Asymptotic Least-Squares Estimation Efficiency Considerations and Applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(3), pages 229-243, July-Sept.
    5. Dowd, Michael R. & LeSage, James P., 1997. "Analysis of spatial contiguity influences on state price level formation," International Journal of Forecasting, Elsevier, vol. 13(2), pages 245-253, June.
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    More about this item

    JEL classification:

    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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